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On the number of solutions of Goormaghtigh equation for given x and y
Authors:Bo He
Affiliation:a Department of Mathematics, ABa Teacher's College, Wenchuan, Sichuan 623000, P. R. China
b Mathematics Department, Purdue University North Central, 1401 S, U.S. 421, Westville, IN46391, USA
Abstract:In this note, we extend a result obtained by Bugeaud and Shorey in Pacific J. Math.207 (2002) 61-75. In fact, we show that the Goormaghtigh equation
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